(01.02 MC)The number line shows the distance in meters of two jellyfish, A and B, from a predator located at point X:



Write an expression using subtraction to find the distance between the two jellyfish. (5 points)

Show your work and solve for the distance using additive inverses. (5 points)

[tex]\displaystyle \frac{4x+3}{5} ^{/9}=\frac{8x-1}{9} ^{/5} \\\\\\ 36x+27=40x-5 \\\\ 40x-36x=27+5\\\\ 4x=32 \\\\ \boxed{x=8 }[/tex]

Step-by-step explanation:

Given fractional expression:

(4x+3)/5 = (8x-1)/9

By doing cross multiplication, we get

⇛4x(9) + 3(9) = 8x(5) - 1(5)

⇛36x + 27 = 40x - 5

Now, combine the like terms in one side.

⇛27x - 40x = -5 + 36

⇛-13x = 31

⇛x = 31/-13 Ans.

Answer:

xx=15.86

Step-by-step explanation:

Answer:

2/15

Step-by-step explanation:

1/3 x 2/5

= ( 1 x 2 ) / ( 3 x 5 )

= 2/15

Answer:

2/15

Step-by-step explanation:

1/3*2/5

(1*2)/(3*5)

2/15

Answer: 51 Children and 36 Adults.

Step-by-step explanation: Let's call x the number of children admitted and call z the number of adults admitted.

We know that x+z= 87

We also know that 3.25x+3.5z= 291.75.

We want to find the value of x and z. Then we solve the system of equations:

Multiply the first equation by -3.5 and add it to the second equation:

-3.5x-3.5z= -304.5

3.25x+3.5z= 291.75

-----------------------------------------------------------------------------------------------------------------

-0.25x=-12.75

x= -42.75 ÷ -0.25

x=51

----------------------------------------------------------------------------------------------------------------

Now we substitute the value of x in the first equation and solve for the variable z

51+z=87

z=87-51

z= 36

Omg took me like 10 minutes to calculate would appreciate brainliest. Have a wonderful day.

The equation that models the situation is f(t) = 10 + 9t.

The carpenter has already shingled 10 garage roofs . The initial amount he has already shingled is like a constant in the equation.

He shingles at a constant rate of 9 per day. This means each day the carpenter shingles 9 roofs.

let

f(t) = number of garage roofs the carpenter shingles

t = time in days.

If the carpenter shingles 9 roofs per day , he will shingle 9 × t roof for t days.

To model the equation where he had already shingled 10 roofs and his shingling rate, can be represented as follows:

read more: https://brainly.com/question/22965839?referrer=searchResults

Answer:

3 1/8

Step-by-step explanation:

3 3/4 and 1/6 percent of the water evaporated

3 3/4 as a inproper fraction 15/4  

15/4  * 1/6= 15/24 = 5/8

so we have to subtract 5/8 from 15/ 4

15/4*2/2= 30/8

30/8-5/8= 25/8

Answer:

3 1/8

Step-by-step explanation:

Simplify the expression

90 + 4B - 2B - 7B

Already in like terms, therefore

90+2B-7B

90-5B

Please Mark BRAINLIEST.

Answer:

x= -7

The whole thing is just an awkward mirror but the lower triangle has an angle that is 1 degree smaller so the whole lower section is going to be bigger or smaller and the angle that mirrors the 80 degree angle is now 79 degrees which makes the other angle on that line 1 degree bigger which would be 101 so you put it in the expession to make it the equation -12x+17=101 and you solve for x which you would then get -7.

Answer:

5 inches

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

16^1

---------------------- = 64

2 x 2 - ^3

Apply exponent rule

16^1 = 16

= 16

------------------

2x2 - ^3

16 = 2x 8

2 x 8

-----------

2 x 2 - ^3

Cancel the common factor <2>

8

---------

2-^3

Factor the number 8 = 2^3

2^3

----------

2-^3

Apply exponent rule.

= 2^3 - (-3) = 6

3- (-3) = 6

= 2^6

2^6 = 64

64 is the answer

Answer:

0.5

Step-by-step explanation:

[tex] {16}^{ \frac{1}{2} } \times 2 {}^{ - 3} [/tex]

[tex] \sqrt{16} \times \frac{1}{{2}^{3} } [/tex]

[tex]4 \times \frac{1}{2 \times 2 \times 2} [/tex]

[tex] \frac{1}{ 2} [/tex]

9514 1404 393

Answer:

  C

Step-by-step explanation:

Judging by the answers, the lines have slopes of 7/3 and 2/5. (We could verify this by close examination of the graph.) The shading is above (greater than) the line with the smaller slope value (2/5), and below (less than) the line with the steeper slope value (7/3).

That means we're looking for a pair of inequalities with the symbols ...

  y ≥ 2/5x ...

  y ≤ 7/3x ...

This combination is found in choice C.

Using an exponential equation, it is found that it will be 7.3 years before the value is doubled.

The equation for an increasing exponential function is given by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

In this problem:

The doubling time is t for which [tex]A(t) = 2A(0)[/tex], then:

[tex]A(t) = A(0)(1.1)^t[/tex]

[tex]2A(0) = A(0)(1.1)^t[/tex]

[tex](1.1)^t = 2[/tex]

[tex]\log{(1.1)^t} = \log{2}[/tex]

[tex]t\log{1.1} = \log{2}[/tex]

[tex]t = \frac{\log{2}}{\log{1.1}}[/tex]

[tex]t = 7.3[/tex]

It will be 7.3 years before the value is doubled.

A similar problem is given at https://brainly.com/question/23008760

Answer:

76

Step-by-step explanation:

PQRS is a Rhombus.

Property of Rhombus : -

All sides are equal.

So,

PQ = QR = RN = NP

RN = 5x + 16

QR = 9x - 32

QR = RN

5x + 16 = 9x - 32

9x - 32 = 5x + 16

9x - 5x = 16 + 32

4x = 48

x = 48 / 4

x = 12

Substitute x = 12 in RN,

RN = 5x + 16

= 5 ( 12 ) + 16

= 60 + 16

RN = 76

Since,

PQ = QR = RN = NP

Therefore,

PQ = 76

Answer:

3/20

Step-by-step explanation:

3/5 ÷ 4

Copy dot flip

3/5 * 1/4

Multiply

3/20

Answer:

0.72

Step-by-step explanation:

64 hundredths= 0.64

8 hundredths= 0.08

0.64 + 0.08 = 0.72

Answer:

.72

Step-by-step explanation:

You just add 64 and 8 (equal to 72) and make sure it's in the hundredths (.00) Hope this is helpful.

The answer is 3/16f-12/8g

Answer:

6

Step-by-step explanation:

When you need to estimate, if the number is .4 or below, bring it down (1.4 will now be 1.)

This goes for both 1.4

so, 1 + 1.

Next, you have 4.1 (which is also below .5, so .4 or below.)

It is 1 + 1 + 4.

That is 6. Hope this helps a bit ^^ :>

Answer:

(see explanation)

Step-by-step explanation:

Rounding to whole numbers,

1.4 rounds to 1

4.1 rounds to 4.

1+1+4 = 6

However, if you're rounding to the nearest 0.5,

1.4 rounds to 1.5

4.1 rounds to 4.0

1.5 + 1.5 + 4.0 = 7

Answer:

It will take 48 minutes to water all parts of her lawn.

Step-by-step explanation:

Each section runs for an equal amount of time

3 sections have run for 36 minutes

36 divided by 3 is 12, meaning each section runs for 12 minutes

12 times 4 is 48

Using multiplication signal rules, it is found that:

A: Emma's statement is always false.

B: The result is always negative.

C: Emma's statement is always true.

The rule used for this exercise is as follows:

Part A:

Two examples are:

[tex]-2.5(-3.8)(-2) = 9.5(-2) = -19[/tex]

[tex]-2.5(-2)(-0.7) = 5(-0.7) = -3.5[/tex]

Part B:

The rule is that the result is always negative.

Part C:

Two examples are:

[tex]-2.5(-3.8)(2) = 9.5(2) = 19[/tex]

[tex]-2.5(-2)(0.7) = 5(0.7) = 3.5[/tex]

A similar problem is given at https://brainly.com/question/24764960

Answer:

6.51

Step-by-step explanation:

105×6.2/100

it gives 6.51

See the picture above for the solution.

Answer:

4 blue balloons.

Step-by-step explanation:

Answer: 14

Step-by-step explanation: 4 + 3 = 7  and there are 21 balloons 21 - 7 = 14. and thats how you get 14

Answer:

D. ∠2 and ∠8

Step-by-step explanation:

common sense lol

Answer:its 116 grams of zinc

Step-by-step explanation:

Your answer should be 724 cents, in dollars that is $7.24

Step-by-step explanation:

from the cents is shoes be 724 and the dollars souls be $7.24

9514 1404 393

Answer:

  y = 2/3x -25/3

Step-by-step explanation:

The slope-intercept form of the equation for a line is ...

  y = mx +b . . . . . . for slope m and y-intercept b

Solving for b gives ...

  b = y -mx

Using the given values for x, y, and m, we find the intercept to be ...

  b = -3 -2/3(8) = (-9 -16)/3 = -25/3

Then the equation of the line is ...

  y = 2/3x -25/3

Answer:

yes because are slopes are the same

Answer:

∠8 is 105° and ∠7 is 75°

Step-by-step explanation:

Angles 4 and 8 are corresponding angles, and are congruent.

Angles 8 and 7 are a linear pair